Best Known (19, 19+66, s)-Nets in Base 25
(19, 19+66, 148)-Net over F25 — Constructive and digital
Digital (19, 85, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
(19, 19+66, 162)-Net over F25 — Digital
Digital (19, 85, 162)-net over F25, using
- net from sequence [i] based on digital (19, 161)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 162, using
(19, 19+66, 2169)-Net in Base 25 — Upper bound on s
There is no (19, 85, 2170)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 66918 817261 259356 813502 481021 491539 614242 110890 771154 327640 046094 820332 242557 112200 656419 332260 327632 404236 708782 921073 > 2585 [i]